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The R=1 and x=1 appear to confuse WolframAlpha. This solve a+1+g=0, b+y+h=0, c+z+j=0, a^2+b^2+c^2=1, 1+y^2+z^2=1 for real y [WASolve][1] will have WolframAlpha solve for real values of y and solve for all the other variables at the...
I found the problem I was using free form input rather than using Mathematica input, thank you .
It's a weakness in that Alpha limit code. Mathematica does not at this time have code dedicated to multivariate limits.